3672425952 has 288 divisors, whose sum is σ = 12355211232. Its totient is φ = 1063010304.

The previous prime is 3672425941. The next prime is 3672425959. The reversal of 3672425952 is 2595242763.

3672425952 is a `hidden beast` number, since 36 + 7 + 24 + 2 + 595 + 2 = 666.

3672425952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3672425898 and 3672425907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672425959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1717428 + ... + 1719564.

It is an arithmetic number, because the mean of its divisors is an integer number (42900039).

Almost surely, 2^3672425952 is an apocalyptic number.

3672425952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3672425952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177605616).

3672425952 is an abundant number, since it is smaller than the sum of its proper divisors (8682785280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3672425952 is a wasteful number, since it uses less digits than its factorization.

3672425952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2172 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 3672425952 is about 60600.5441559727. The cubic root of 3672425952 is about 1542.8286058214.

The spelling of 3672425952 in words is "three billion, six hundred seventy-two million, four hundred twenty-five thousand, nine hundred fifty-two".